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Finding the Fourth Proportional to 209,388.25, 289,007.13 and 118,797.25

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Solution

The fourth proportional to 209,388.25, 289,007.13 and 118,797.25 is: 163,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,388.25 : 289,007.13 = 118,797.25 : x
  2. Step 2: Convert to fraction form
    209,388.25/289,007.13 = 118,797.25/x
  3. Step 3: Cross multiply
    209,388.25x = 289,007.13 × 118,797.25
  4. Step 4: Simplify right side
    209,388.25x = 34,333,252,274.39
  5. Step 5: Solve for x
    x = 34,333,252,274.39/209,388.25
  6. Step 6: Final answer
    x = 163,969.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.